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Discussion Post: Elements of Statistics- Content Mastery Testing
After studying and reviewing the concepts and practices of Module 4, answer the following questions:
I. A sample size of 35 scores has a mean score of 85 points with a standard deviation of 3.25 points. Is there any statistical evidence that the grade population mean is less than 75 points (α = 5%)? Greater than 85 points (α = 10%)
II. A sample size of 49 students has a mean weight of 205 pounds with a standard deviation of 5.8 pounds. Find a 95% confidence interval for the weight population mean. Is there any statistical evidence that the weight population mean is less than 200 pounds (α = 1%)?
III. The following data represents the annual average salary ($) of a sample of nine Social Workers.
42,640
41,830
46,990
50,690
40,950
41,460
48,670
40,090
44,720
If the data comes from a normally distributed population with µ = $48,920, Is there any statistical evidence that the average salary of Social Workers is less than $45,000 for a significance level of 10%?
the college division of pearson education wants to determine the proportion of unsaleable books for a large production
Let S be any set and S∞ the set of all sequences {xn }n≥1 with xn ∈ S for all n. Let C be a subset of the Cartesian product S × S∞. Also, S × S∞ is the set of all sequences {xn }n≥0 with xn ∈ S for all n = 0, 1,... .
If m is a median of the distribution of X and if Y = rex) is either a nondecreasing or a nonincreasing function of X, show that rem)
Consider a plate that is well insulated on its back side and maintained at 200°C by imbedded electrical resistance elements. The exposed surface has an emissive power of 1200 W/m2, irradiation of 2500 W/m2, and reflectivity of 30%. The exposed sur..
Construct separate tables for each of the values of the possible confounding variable, or take larger samples in all groups?
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5%
Airline companies are interested in the consistency of the number of babies on each flight, so that they have adequate safety equipment.
mutual funds often compare their performance with a benchmark provided by an index that describes the performance of
i) Use the CLT to construct a con?dence interval for m with approximate con?dence coef?cient 1 - a; ii) What does this interval become if n = 100, s = 1 and a = 0.05? iii) Refer to part (i) and determine n so that the length of the con?dence interval..
An agent for a residential real estate company in a suburb located outside a major city has the business objective of developing more accurate estimate
Should the company be a short hedger or a long hedger in corn futures?
Create a visual of the data you collected from the questionnaires - You need to take the data you collected and transfer it into an appropriate visual for your reader
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